/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: -(x,0()) -> x
    2: -(0(),s(y)) -> 0()
    3: -(s(x),s(y)) -> -(x,y)
    4: lt(x,0()) -> false()
    5: lt(0(),s(y)) -> true()
    6: lt(s(x),s(y)) -> lt(x,y)
    7: if(true(),x,y) -> x
    8: if(false(),x,y) -> y
    9: div(x,0()) -> 0()
    10: div(0(),y) -> 0()
    11: div(s(x),s(y)) -> if(lt(x,y),0(),s(div(-(x,y),s(y))))
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #lt(s(x),s(y)) -> #lt(x,y)
   #2: #div(s(x),s(y)) -> #if(lt(x,y),0(),s(div(-(x,y),s(y))))
   #3: #div(s(x),s(y)) -> #lt(x,y)
   #4: #div(s(x),s(y)) -> #div(-(x,y),s(y))
   #5: #div(s(x),s(y)) -> #-(x,y)
   #6: #-(s(x),s(y)) -> #-(x,y)
Number of SCCs: 3, DPs: 3
	SCC { #1 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #lt(x1,x2)		w: (x2 + x1)
  false()		w: (0)
  div(x1,x2)		w: (0)
  true()		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  -(x1,x2)		w: (0)
  #-(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
  lt(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2
	SCC { #6 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #lt(x1,x2)		w: (0)
  false()		w: (0)
  div(x1,x2)		w: (0)
  true()		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  -(x1,x2)		w: (0)
  #-(x1,x2)		w: (x2)
  #if(x1,x2,x3)		w: (0)
  lt(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 1
	SCC { #4 }
Sum... succeeded.
  #div(x1,x2)		w: (2 + x1)
  s(x1)		w: (8367 + x1)
  #lt(x1,x2)		w: (0)
  false()		w: (0)
  div(x1,x2)		w: (0)
  true()		w: (0)
  0()		w: (1)
  if(x1,x2,x3)		w: (0)
  -(x1,x2)		w: (8366 + x1)
  #-(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
  lt(x1,x2)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0